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261055340 = 225721331661
BaseRepresentation
bin11111000111101…
…10001101101100
3200012012222121022
433203312031230
51013312232330
641523153312
76316635200
oct1743661554
9605188538
10261055340
111243a4817
1273515838
1342113720
1426956b00
1517db9ae5
hexf8f636c

261055340 has 144 divisors (see below), whose sum is σ = 710002944. Its totient is φ = 79833600.

The previous prime is 261055337. The next prime is 261055351. The reversal of 261055340 is 43550162.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394610 + ... + 395270.

It is an arithmetic number, because the mean of its divisors is an integer number (4930576).

Almost surely, 2261055340 is an apocalyptic number.

261055340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355001472).

261055340 is an abundant number, since it is smaller than the sum of its proper divisors (448947604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261055340 is a wasteful number, since it uses less digits than its factorization.

261055340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 261055340 is about 16157.2070606278. The cubic root of 261055340 is about 639.1128169582.

The spelling of 261055340 in words is "two hundred sixty-one million, fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 182 196 217 245 260 310 364 403 434 455 490 620 637 661 806 868 910 980 1085 1274 1322 1519 1612 1820 2015 2170 2548 2644 2821 3038 3185 3305 4030 4340 4627 5642 6076 6370 6610 7595 8060 8593 9254 11284 12740 13220 14105 15190 17186 18508 19747 20491 23135 28210 30380 32389 34372 39494 40982 42965 46270 56420 60151 64778 78988 81964 85930 92540 98735 102455 120302 129556 143437 161945 171860 197470 204910 240604 266383 286874 300755 323890 394940 409820 421057 532766 573748 601510 647780 717185 842114 1004059 1065532 1203020 1331915 1434370 1684228 1864681 2008118 2105285 2663830 2868740 3729362 4016236 4210570 5020295 5327660 7458724 8421140 9323405 10040590 13052767 18646810 20081180 26105534 37293620 52211068 65263835 130527670 261055340